-2x + 3 > 3(2x - 1)
the inequality sign > means 'greater than'.
First simplify the right side of the equation by distributing the 3 over the parentheses:-
-2x + 3 > 6x - 3
Now add -6x to both sides of the inequality which gives us
-8x + 3 > -3
Adding -3 to both sides we have
-8x > -6
The next step is to divide both sides by -8 so x is isolated on the left side and this gives us the solution. However there is a rule with inequalities that if you divide the variable term by a negative the inequality is flipped. So in this case , greater that (>) becomes less than (<):-
-8x / -8 < -6/-8
x < 3/4 is your answer.
Given table
______
x y
______
2.4 9
7.2 28
7 24
8.3 35
3.1 9
7.2 30
9 32
_________
So, the coordinates on the graph (2.4, 9), (7.2, 28), (7, 24), (8.3, 35), (3.1 , 9), ( 7.2, 30), (9, 32).
The first graph represents the line of best fit.
The definition of line of best fit " A line of best fit is a straight line that best represents the data on a scatter plot. This line may pass through some of the points, none of the points, or all of the points.".
<h3>Note: Most of the points should be as closer as possible to the drawn line. </h3>
Answer:

Step-by-step explanation:
The standard equation of a circle is given by:

Where (<em>h, k</em>) is the center and <em>r</em> is the radius.
We are given that the center is (4, -7) and that the radius is √(43).
So, <em>h</em> = 4, <em>k</em> = -7, and <em>r</em> = √(43). Substitute:

Simplify. Hence, our equation is:
